Recent researches have shown that grid resources can be accessed by client on-demand, with the help of virtualization technology in the Cloud. The virtual machines hosted by the hypervisors are being utilized to build the grid network within the cloud environment. The aim of this study is to survey some concepts used for the on-demand grid provisioning using Infrastructure as a Service Cloud and the taxonomy of its related components. This paper, discusses the different approaches for on-demand grid using infrastructural Cloud, the issues it tries to address and the implementation tools. The paper also, proposed an extended classification for the virtualization technology used and a new classification for the Grid-Cloud integration which was based on the architecture, communication flow and the user demand for the Grid resources. This survey, tools and taxonomies presented here will contribute as a guide in the design of future architectures for further researches.